All categories

2 years ago

Determine if the function is continuous to its domain

Mathematics

1 answer:

Maurinko [17]2 years ago

6 0

Yes, it is continuous to its domain

<h2>Explanation:</h2><h2></h2>

In order to find the domain of the function we need to get the restrictions:

1. From natural log:

$x>0$

2. From quotient:

$x\neq 0$

Matching these two restrictions the domain is:

$x\in (0,\infty)$

So the function is continuous to its domain because is defined for every x-value in the interval $(0, \infty)$ )

<h2>Learn more:</h2>

Functions: brainly.com/question/12891789

#LearnWithBrainly

You might be interested in

Lance used two gallons of paint to pain 785 square feet. How many gallons will he need to purchase to cover 2,500 square feet?

Digiron [165]

Answer:

7 gallon

Step-by-step explanation:

Divide the space that needs paints by how much space has been painted

2500/785 = 3.18

Then double that because it takes 2 gallons to paint every 785 square feet

3.18 x 2 = 6.36

You would need 6.36 gallons of paint, which would round up to 7 because you cannot buy 0.36 of a gallon

8 0

2 years ago

Jakes elevation decreases 350 meteors as he rides his bike to the bottom of the hill he completes the ride in 5 equal stages how

andrew-mc [135]

Answer:

70 decreases each stage

Step-by-step explanation:

350 / 5 = 70 decreases each stage

Since all decreases are equal and in 5 stages:

decreases * stages = total decreases

70 * 5 = 350

3 0

2 years ago

Use fraction models to solve two and four sevenths plus three and two fourths equals blank

jenyasd209 [6]

Answer:

$6 \frac{1}{14}$

Step-by-step explanation:

Write down the problem;

$2 \frac{4}{7} + 3 \frac{2}{4}$

Simplify

$2 \frac{4}{7} + 3 \frac{1}{2}$

Convert so that the fractions have a common denominator; multiply the numerator and denominator of both fractions such that the denominators are equal;

$2 \frac{8}{14} + 3 \frac{7}{14}$

Add the fractions;

$5 \frac{15}{14}$

Convert to mixed number;

$6 \frac{1}{14}$

3 0

2 years ago

What are the solutions to the following system?<br> -2x+y=-5<br> y --3x²+5<br> L

seraphim [82]

The problem seems confusing is it supposed to say y=?

3 0

3 years ago

Is the expression 3x^2-5x^3 a Polynomial? If yes, what is the degree?

Paraphin [41]

Answer: The answer is: it is a fifth degree binomial or 'quintic binomial'.

Step-by-step explanation:

Is the expression 3x^2-5x^3 a polynomial?

So, we have to know what polynomial means. A polynomial is... "an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables."

So let's take a look at this expression.

Does it consist of variables and coefficients? YES

Does it only involve operations of addition, subtraction, multiplication, and non-negative integer exponents of variables? YES

Therefore, it is a polynomial.

Now, we have to figure out what degree this polynomial is.

The degree of the polynomial is the degree of the monomial with the largest degree.

So the largest degree would be the 3rd degree, because it is, of course, the largest out of the two powers listed.

And also, keep in mind that this is a binomial (made up of two monomials).

Therefore, it is a fifth degree binomial or 'quintic binomial'.

4 0

2 years ago